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Finding the Fourth Proportional to 284,360.22, 392,413.93 and 157,033.26

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Solution

The fourth proportional to 284,360.22, 392,413.93 and 157,033.26 is: 216,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,360.22 : 392,413.93 = 157,033.26 : x
  2. Step 2: Convert to fraction form
    284,360.22/392,413.93 = 157,033.26/x
  3. Step 3: Cross multiply
    284,360.22x = 392,413.93 × 157,033.26
  4. Step 4: Simplify right side
    284,360.22x = 61,622,038,697.31
  5. Step 5: Solve for x
    x = 61,622,038,697.31/284,360.22
  6. Step 6: Final answer
    x = 216,704.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.